Solving Multi-Step Equations

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

How do you isolate the variable in the equation (x/4) + 10 = 34?

Back

Subtract 10 from both sides, then multiply by 4.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then solve for x.

Front

Which step cannot be performed first when solving the equation 5 - 2(x - 7) = x + 1 + 3x?

Back

You cannot simply subtract 2 from 5 without addressing the parentheses.

Front

What is the solution to the equation 17 - 5r + 9r = -12 + 6r - 1?

Back

Combine like terms to find r = 15.

Front

What does it mean to 'distribute' in algebra?

Back

To multiply each term inside a parentheses by the term outside.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

How do you check your solution after solving an equation?

Back

Substitute the solution back into the original equation to verify.

Front

What is the importance of maintaining balance when solving equations?

Back

Whatever you do to one side of the equation, you must do to the other side.

Front

What is the first step in solving a multi-step equation?

Back

Identify and simplify any expressions on both sides of the equation.